ln(x+6)+ln(x-6)=5

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Solution for ln(x+6)+ln(x-6)=5 equation:


Simplifying
ln(x + 6) + ln(x + -6) = 5

Reorder the terms:
ln(6 + x) + ln(x + -6) = 5
(6 * ln + x * ln) + ln(x + -6) = 5
(6ln + lnx) + ln(x + -6) = 5

Reorder the terms:
6ln + lnx + ln(-6 + x) = 5
6ln + lnx + (-6 * ln + x * ln) = 5
6ln + lnx + (-6ln + lnx) = 5

Reorder the terms:
6ln + -6ln + lnx + lnx = 5

Combine like terms: 6ln + -6ln = 0
0 + lnx + lnx = 5
lnx + lnx = 5

Combine like terms: lnx + lnx = 2lnx
2lnx = 5

Solving
2lnx = 5

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Divide each side by '2nx'.
l = 2.5n-1x-1

Simplifying
l = 2.5n-1x-1

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